An infinite geometric series has common ratio \(-\frac{1}{5}\) and sum \(16\) What is the first term of the series?

QuestionableBean Sep 6, 2021

#2**0 **

Its 96/5. The formula for sum of an infinite geometric series is A_{1}/1-r Where A_{1 }is the first term in the series and r is the common ratio. Plugging in your values, you have A_{1}/1-(-1/5)=16------------> A_{1}/(6/5)=16 Solving for A_{1} you get 96/5. No clue where my guy got 64/5 from.

Guest Sep 6, 2021

edited by
Guest
Sep 6, 2021